After reviewing basics and fundamentals of CS, the 4-day Course (co-organized by ELEDIA@UniTN and ELEDIA@TSINGHUA) will focus on the state-of-the-art and the most recently introduced CS-based techniques and algorithms, discussing capabilities, limitations, and perspectives in the following topics: Antenna Synthesis and Design, Antenna Measurements, Adaptive Antennas & Antenna Signal Processing, Inverse Scattering and Microwave Imaging. Applicative examples including exercises and talks regarding specific applications will corroborate the developed concepts.